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Simplifying 4(3x + 6) + -7 = 5x + -32 Reorder the terms: 4(6 + 3x) + -7 = 5x + -32 (6 * 4 + 3x * 4) + -7 = 5x + -32 (24 + 12x) + -7 = 5x + -32 Reorder the terms: 24 + -7 + 12x = 5x + -32 Combine like terms: 24 + -7 = 17 17 + 12x = 5x + -32 Reorder the terms: 17 + 12x = -32 + 5x Solving 17 + 12x = -32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + 12x + -5x = -32 + 5x + -5x Combine like terms: 12x + -5x = 7x 17 + 7x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 7x = -32 + 0 17 + 7x = -32 Add '-17' to each side of the equation. 17 + -17 + 7x = -32 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = -32 + -17 7x = -32 + -17 Combine like terms: -32 + -17 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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